Stability and convergence of difference schemes approximating a two-parameter nonlocal boundary value problem

被引：0

作者：

A. A. Alikhanov

机构：

[1] Kabardino-Balkar State University,

来源：

Differential Equations | 2013年 / 49卷

关键词：

Difference Scheme; Heat Equation; Nonlocal Boundary; Energy Inequality; Nonlocal Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider difference schemes for the heat equation with variable coefficients and nonlocal boundary conditions containing real parameters α and β. By the method of energy inequalities, for the solution of the difference problem, we obtain a priori estimates, which imply the stability and convergence of these difference schemes.

引用

页码：796 / 806

页数：10

共 11 条

[1]

Gulin VA(2008)A Family of Self-Adjoint Nonlocal Difference Schemes Differ. Uravn. 44 1247-1254

[2]

Morozova VA(2009)Stability of the Two-Parameter Set of Nonlocal Difference Schemes Comput. Methods Appl. Math. 9 79-99

[3]

Gulin A(2009)On a Family of Nonlocal Difference Schemes Differ. Uravn. 45 1001-1013

[4]

Morozova V(2010)A Criterion for the Stability of a Family of Nonlocal Difference Schemes Differ. Uravn. 46 966-982

[5]

Gulin AV(2008)Nonlocal Boundary Value Problems in Differential and Difference Interpretations Differ. Uravn. 44 924-931

[6]

Morozova VA(2010)On the Stability and Convergence of Nonlocal Difference Schemes Differ. Uravn. 46 942-954

[7]

Gulin AV(undefined)undefined undefined undefined undefined-undefined

[8]

Morozova VA(undefined)undefined undefined undefined undefined-undefined

[9]

Udovichenko NS(undefined)undefined undefined undefined undefined-undefined

[10]

Alikhanov AA(undefined)undefined undefined undefined undefined-undefined

← 1 2 →